51187852026234 has 256 divisors, whose sum is σ = 142105891921920. Its totient is φ = 13268686464000.

The previous prime is 51187852026229. The next prime is 51187852026277. The reversal of 51187852026234 is 43262025878115.

It is a happy number.

51187852026234 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 7 + 8 + 5 + 2 + 0 + 2 + 623 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7670887122 + ... + 7670893794.

It is an arithmetic number, because the mean of its divisors is an integer number (555101140320).

Almost surely, 2^{51187852026234} is an apocalyptic number.

51187852026234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51187852026234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71052945960960).

51187852026234 is an abundant number, since it is smaller than the sum of its proper divisors (90918039895686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51187852026234 is a wasteful number, since it uses less digits than its factorization.

51187852026234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 51187852026234 in words is "fifty-one trillion, one hundred eighty-seven billion, eight hundred fifty-two million, twenty-six thousand, two hundred thirty-four".